| 第二类Fredholm积分方程的多项式多投影算法 |
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| 引用本文： | 王和平,隆广庆,唐帅.第二类Fredholm积分方程的多项式多投影算法[J].广西师院学报,2008(3):36-41. |
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| 作者姓名： | 王和平 隆广庆 唐帅 |
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| 作者单位： | 广西师范学院数学与计算机科学系,广西南宁530023 |
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| 基金项目： | 中国博士后科学基金（2005037603）;广西科学青年基金（0728044）;广西教育厅科学基金;广西师范学院基础研究基金 |
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| 摘 要： | 主要讨论第二类Fredholm积分方程的多项式多投影算法．算法应用到Galerkin方法和配置法两种情况，并证明当核函数和方程的解具有一定的光滑核性时，多投影算法的近似解及其迭代解的精度分别是一般有限维投影法近似解的三倍和四倍，表现出算法具有非常高的超收敛性．
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| 关 键 词： | 积分方程 多投影算法 多项式空间 超收敛 |
A Polynomial Multi-Projection Method for Integral Equations of the Second Kind |
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| WANG He-ping,LONG Guang-qing,TANG Shuai.A Polynomial Multi-Projection Method for Integral Equations of the Second Kind[J].Journal of Guangxi Teachers College(Natural Science Edition),2008(3):36-41. |
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| Authors: | WANG He-ping LONG Guang-qing TANG Shuai |
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| Institution: | (Department of Mathematics and Computer Science, Guangxi Teachers Education University, Nanning 530023, China) |
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| Abstract: | In this paper, we discuss the polynomial multi-projection method for solving Fredholm integral equations of the second kind. We apply our polynomial multi-projection method to Galerkin and collocation versions, and prove that approximation solutions and its iterations of our method exhibit super-convergence which is three times and four times larger than that of general approximation methods. |
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| Keywords: | integral equation multi-projection polynomial superconvergence |
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